1. Preheat to 375. In a mixing bowl (or a mixer), combine the egg, butter, vanilla extract, and sugars. Mix until creamy. Add the flour, baking soda, salt and mix until combined. Finally, add the white chocolate chips and chopped walnut and fold into the dough. Roll small spoonfuls of the cookie dough into balls and place a few inches apart on a lightly oiled cookie sheet. Bake for 11 minutes or until the cookies are just beginning to turn golden brown.